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Finding the Third Proportional to 3,531.66 and 5,189.48

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Solution

The third proportional to 3,531.66 and 5,189.48 is: 7,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.66 : 5,189.48 = 5,189.48 : x
  2. Step 2: Convert to fraction form
    3,531.66/5,189.48 = 5,189.48/x
  3. Step 3: Cross multiply
    3,531.66x = 5,189.48 × 5,189.48
  4. Step 4: Simplify right side
    3,531.66x = 26,930,748.08
  5. Step 5: Solve for x
    x = 26,930,748.08/3,531.66
  6. Step 6: Final answer
    x = 7,625.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.